Quantum many-body scars with tunable entanglement and Hamiltonian inverse design from ZX-calculus
The research uses ZX-calculus to construct fractal many-body states based on Sierpiński triangle and carpet diagrams, which serve as quantum many-body scars in chaotic systems. This framework allows for Hamiltonian inverse design by using diagrammatic rules to find local operators that annihilate the target state, enabling the creation of Hamiltonians with specific atypical eigenstates.